Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287548180> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W4287548180 abstract "In this work, we construct and derive a new class of exponentially fitted two-derivative diagonally implicit Runge--Kutta (EFTDDIRK) methods for the numerical solution of differential equations with oscillatory solutions. First, a general format of so-called modified two-derivative diagonally implicit Runge--Kutta methods (TDDIRK) is proposed. Their order conditions up to order six are derived by introducing a set of bi-coloured rooted trees and deriving new elementary weights. Next, we build exponential fitting conditions in order for these modified TDDIRK methods to treat oscillatory solutions, leading to EFTDDIRK methods. In particular, a family of 2-stage fourth-order, a fifth-order, and a 3-stage sixth-order EFTDDIRK schemes are derived. These can be considered as superconvergent methods. The stability and phase-lag analysis of the new methods are also investigated, leading to optimized fourth-order schemes, which turn out to be much more accurate and efficient than their non-optimized versions. Finally, we carry out numerical experiments on some oscillatory test problems. Our numerical results clearly demonstrate the accuracy and efficiency of the newly derived methods when compared with existing implicit Runge--Kutta methods and two-derivative Runge--Kutta methods of the same order in the literature." @default.
- W4287548180 created "2022-07-25" @default.
- W4287548180 creator A5004999123 @default.
- W4287548180 creator A5062016485 @default.
- W4287548180 creator A5069156178 @default.
- W4287548180 creator A5083145729 @default.
- W4287548180 date "2020-12-27" @default.
- W4287548180 modified "2023-10-18" @default.
- W4287548180 title "Exponentially fitted two-derivative DIRK methods for oscillatory differential equations" @default.
- W4287548180 hasPublicationYear "2020" @default.
- W4287548180 type Work @default.
- W4287548180 citedByCount "0" @default.
- W4287548180 crossrefType "posted-content" @default.
- W4287548180 hasAuthorship W4287548180A5004999123 @default.
- W4287548180 hasAuthorship W4287548180A5062016485 @default.
- W4287548180 hasAuthorship W4287548180A5069156178 @default.
- W4287548180 hasAuthorship W4287548180A5083145729 @default.
- W4287548180 hasBestOaLocation W42875481801 @default.
- W4287548180 hasConcept C10138342 @default.
- W4287548180 hasConcept C106159729 @default.
- W4287548180 hasConcept C111771559 @default.
- W4287548180 hasConcept C112972136 @default.
- W4287548180 hasConcept C1164432 @default.
- W4287548180 hasConcept C119857082 @default.
- W4287548180 hasConcept C121332964 @default.
- W4287548180 hasConcept C130367717 @default.
- W4287548180 hasConcept C134306372 @default.
- W4287548180 hasConcept C135628077 @default.
- W4287548180 hasConcept C151376022 @default.
- W4287548180 hasConcept C162324750 @default.
- W4287548180 hasConcept C165242687 @default.
- W4287548180 hasConcept C176321772 @default.
- W4287548180 hasConcept C181582579 @default.
- W4287548180 hasConcept C182306322 @default.
- W4287548180 hasConcept C186219872 @default.
- W4287548180 hasConcept C2524010 @default.
- W4287548180 hasConcept C28826006 @default.
- W4287548180 hasConcept C33923547 @default.
- W4287548180 hasConcept C39177556 @default.
- W4287548180 hasConcept C41008148 @default.
- W4287548180 hasConcept C48753275 @default.
- W4287548180 hasConcept C51544822 @default.
- W4287548180 hasConcept C78045399 @default.
- W4287548180 hasConcept C83295009 @default.
- W4287548180 hasConcept C97355855 @default.
- W4287548180 hasConceptScore W4287548180C10138342 @default.
- W4287548180 hasConceptScore W4287548180C106159729 @default.
- W4287548180 hasConceptScore W4287548180C111771559 @default.
- W4287548180 hasConceptScore W4287548180C112972136 @default.
- W4287548180 hasConceptScore W4287548180C1164432 @default.
- W4287548180 hasConceptScore W4287548180C119857082 @default.
- W4287548180 hasConceptScore W4287548180C121332964 @default.
- W4287548180 hasConceptScore W4287548180C130367717 @default.
- W4287548180 hasConceptScore W4287548180C134306372 @default.
- W4287548180 hasConceptScore W4287548180C135628077 @default.
- W4287548180 hasConceptScore W4287548180C151376022 @default.
- W4287548180 hasConceptScore W4287548180C162324750 @default.
- W4287548180 hasConceptScore W4287548180C165242687 @default.
- W4287548180 hasConceptScore W4287548180C176321772 @default.
- W4287548180 hasConceptScore W4287548180C181582579 @default.
- W4287548180 hasConceptScore W4287548180C182306322 @default.
- W4287548180 hasConceptScore W4287548180C186219872 @default.
- W4287548180 hasConceptScore W4287548180C2524010 @default.
- W4287548180 hasConceptScore W4287548180C28826006 @default.
- W4287548180 hasConceptScore W4287548180C33923547 @default.
- W4287548180 hasConceptScore W4287548180C39177556 @default.
- W4287548180 hasConceptScore W4287548180C41008148 @default.
- W4287548180 hasConceptScore W4287548180C48753275 @default.
- W4287548180 hasConceptScore W4287548180C51544822 @default.
- W4287548180 hasConceptScore W4287548180C78045399 @default.
- W4287548180 hasConceptScore W4287548180C83295009 @default.
- W4287548180 hasConceptScore W4287548180C97355855 @default.
- W4287548180 hasLocation W42875481801 @default.
- W4287548180 hasOpenAccess W4287548180 @default.
- W4287548180 hasPrimaryLocation W42875481801 @default.
- W4287548180 hasRelatedWork W10203595 @default.
- W4287548180 hasRelatedWork W13483953 @default.
- W4287548180 hasRelatedWork W18221980 @default.
- W4287548180 hasRelatedWork W21975096 @default.
- W4287548180 hasRelatedWork W2467526 @default.
- W4287548180 hasRelatedWork W25999582 @default.
- W4287548180 hasRelatedWork W29277913 @default.
- W4287548180 hasRelatedWork W47811045 @default.
- W4287548180 hasRelatedWork W12523033 @default.
- W4287548180 hasRelatedWork W30857009 @default.
- W4287548180 isParatext "false" @default.
- W4287548180 isRetracted "false" @default.
- W4287548180 workType "article" @default.